Gothic Blue vs Purple Rain

How close are they?

ΔE 19.5, loose: different enough that you should pick on purpose. Purple Rain is noticeably lighter, more saturated than Gothic Blue.

Can I use Purple Rain instead of Gothic Blue?

Not as a straight swap; see the closer alternatives below. Loose match (ΔE 20). Purple Rain is noticeably lighter, more saturated than Gothic Blue.

Can I use Gothic Blue instead of Purple Rain?

The same difference applies the other way round: Gothic Blue is noticeably darker, more muted.

ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.